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Chaotic behaviour of open quantum mechanical systems

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Quantum Chaos — Quantum Measurement

Part of the book series: NATO ASI Series ((ASIC,volume 358))

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Abstract

We study the behaviour of the poles of a scattering matrix for the situation where the internal Hamiltonian corresponds to an’ ordered’ system, i. e. has Poissonian spectral fluctuations. In the region of strong coupling between bound and scattering states where most of the resonances have small widths again, we find that the poles show GOE-like level statistics, typical of chaotic systems.

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References

  1. J. J. M. Verbaarschot, H. A. Weidenmüller and M. R. Zirnbauer, Phys. Rep. 129 (1985) 367.

    Article  MathSciNet  ADS  Google Scholar 

  2. P. Kleinwächter and I. Rotter, Phys. Rev. C32(1985)1742.

    ADS  Google Scholar 

  3. V. V. Sokolov and V. G Zelevinsky, Phys. Lett. B202(1988)10.

    ADS  Google Scholar 

  4. V. V. Sokolov and V. G Zelevinsky, Nucl. Phys. A504(1989)562.

    ADS  Google Scholar 

  5. F.-M. Dittes, W. Cassing and I. Rotter, Z. Phys. A337(1990)243.

    ADS  Google Scholar 

  6. F.-M. Dittes, H. L. Harney and I Rotter, Phys. Lett. A153(1991)451.

    ADS  Google Scholar 

  7. I. Rotter, Rep. Prog. Phys. 54 (1991) 635.

    Article  ADS  Google Scholar 

  8. F. Haake and F. M. Izrailev, private communication.

    Google Scholar 

  9. J. M. Blatt, V. F. Weisskopf, ”Theoretical Nuclear Physics”, Springer Berlin, 1979.

    Google Scholar 

  10. T. H. Seligman and H. Nishioka (Eds.), Quantum Chaos and Statistical Nuclear Physics, Lecture Notes in Physics 263, Springer Berlin, 1986.

    Google Scholar 

  11. C. Mahaux and H. A. Weidenmüller, ”Shell-Model Approach to Nuclear Reactions”, North-Holland Amsterdam, 1969.

    Google Scholar 

  12. T. A. Brody et al., Rev. Mod. Phys. 53(1981)385.

    Article  MathSciNet  ADS  Google Scholar 

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Author information

Authors and Affiliations

  1. Institut für Subatomare Physik, ZfK Rossendorf, O-8051, Dresden, Germany

    F.-M. Dittes & I. Rotter

  2. Instituto de Física, Laboratorio de Cuernavaca, University of Mexico (U.N.A.M.), USA

    T. H. Seligman

Authors
  1. F.-M. Dittes
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  2. I. Rotter
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  3. T. H. Seligman
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Editor information

Editors and Affiliations

  1. Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark

    P. Cvitanović

  2. Queen Mary and Westfield College, University of London, London, UK

    I. Percival

  3. Nordita, Copenhagen, Denmark

    A. Wirzba

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© 1992 Springer Science+Business Media Dordrecht

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Dittes, FM., Rotter, I., Seligman, T.H. (1992). Chaotic behaviour of open quantum mechanical systems. In: Cvitanović, P., Percival, I., Wirzba, A. (eds) Quantum Chaos — Quantum Measurement. NATO ASI Series, vol 358. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7979-7_13

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  • DOI: https://doi.org/10.1007/978-94-015-7979-7_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4120-3

  • Online ISBN: 978-94-015-7979-7

  • eBook Packages: Springer Book Archive

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